2259880 has 48 divisors (see below), whose sum is σ = 5920020. Its totient is φ = 774144.

The previous prime is 2259871. The next prime is 2259889. The reversal of 2259880 is 889522.

2259880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2259871) and next prime (2259889).

It can be written as a sum of positive squares in 2 ways, for example, as 2244004 + 15876 = 1498^2 + 126^2 .

It is a super-2 number, since 2×2259880² = 10214115228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2259889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1384 + ... + 2536.

2^2259880 is an apocalyptic number.

2259880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960010).

2259880 is an abundant number, since it is smaller than the sum of its proper divisors (3660140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2259880 is a wasteful number, since it uses less digits than its factorization.

2259880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2259880 is about 1503.2897259012. The cubic root of 2259880 is about 131.2285891000.

The spelling of 2259880 in words is "two million, two hundred fifty-nine thousand, eight hundred eighty".